Question

In vertex-centred arrangements, the variables at the vertices are only known. How is the variation of variables in these elements calculated?

(a) Interpolation profiles or Taylor series expansion

(b) Shape functions or Taylor series expansion

(c) Shape functions or interpolation profiles

(d) Shape functions or Fourier series expansion

I have been asked this question during an internship interview.

I'm obligated to ask this question of Variable Arrangement in FVM in division Finite Volume Methods of Computational Fluid Dynamics

Answer 1

The correct answer is (c) Shape functions or interpolation profiles

For explanation I would say: In vertex-centred arrangements, the flow variables are calculated and stored at the vertices only. The variation of flow properties through the element can be obtained by using either shape functions or interpolation profiles.